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Finding the Third Proportional to 75,453 and 157,104

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Solution

The third proportional to 75,453 and 157,104 is: 327,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,453 : 157,104 = 157,104 : x
  2. Step 2: Convert to fraction form
    75,453/157,104 = 157,104/x
  3. Step 3: Cross multiply
    75,453x = 157,104 × 157,104
  4. Step 4: Simplify right side
    75,453x = 24,681,666,816
  5. Step 5: Solve for x
    x = 24,681,666,816/75,453
  6. Step 6: Final answer
    x = 327,113.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.